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Finding the Third Proportional to 48,516 and 68,724

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Solution

The third proportional to 48,516 and 68,724 is: 97,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,516 : 68,724 = 68,724 : x
  2. Step 2: Convert to fraction form
    48,516/68,724 = 68,724/x
  3. Step 3: Cross multiply
    48,516x = 68,724 × 68,724
  4. Step 4: Simplify right side
    48,516x = 4,722,988,176
  5. Step 5: Solve for x
    x = 4,722,988,176/48,516
  6. Step 6: Final answer
    x = 97,349.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.